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Optimal Satellite-Formation Collision-Avoidance Maneuver Based on Relative E/I Vectors

机译:基于相对E / I向量的最优卫星编队避碰机动

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摘要

The optimal satellite-formation collision-avoidance maneuver problem is investigated in terms of relative eccentricity and inclination vectors (E/I vectors) in relative E/I vectors plane. Using the relative E/I vectors theory and under the relative inclination vector unchanged assumption, first, the fuel-optimal collision-avoidance maneuver problem to maneuver the final target configuration with predefined passive safety parameters using minimal fuel is transferred to the geometrical problem to find the shortest distance from the initial point determined by the current relative eccentricity vector to the hyperbolic curve, which is determined by a predefined passive safety parameter in the relative E/I vectors plane. This case is solved using the Newton interaction method. Second, the optimal collision-avoidance maneuver problem to maneuver the final target configuration having maximum passive safety parameter under limiting fuel constraint is interpreted as the geometrical problem to find the optimal curve that has maximum passive safety parameter and is tangent to the maneuverable circle, whose center and radius are the initial point determined by the current relative eccentricity vector and the limited fuel, respectively. The equivalent geometrical problem is solved by applying a simple heuristic search method. The validities of the proposed optimal collision-avoidance methods in terms of relative E/I vectors are confirmed by numerical simulations. (C) 2016 American Society of Civil Engineers.
机译:针对相对偏心率和相对E / I向量平面中的倾斜向量(E / I向量),研究了最佳的卫星编队避免碰撞机动问题。使用相对E / I向量理论并在相对倾角矢量不变的假设下,首先,将使用最小燃料操纵具有预定义被动安全参数的最终目标配置的燃料最优碰撞避免操纵问题转移到几何问题中,以便找到从当前相对偏心率矢量确定的初始点到双曲线的最短距离,该距离由相对E / I矢量平面中的预定义被动安全参数确定。使用牛顿相互作用法解决了这种情况。其次,在限制燃料约束下操纵具有最大被动安全参数的最终目标构型的最佳避免碰撞操纵问题被解释为几何问题,以找到具有最大被动安全参数且与可操纵圆相切的最优曲线。中心和半径分别是由当前相对偏心率矢量和有​​限燃料确定的起始点。通过应用简单的启发式搜索方法可以解决等效几何问题。通过数值模拟证实了所提出的最优防撞方法在相对E / I矢量方面的有效性。 (C)2016年美国土木工程师学会。

著录项

  • 来源
    《Journal of aerospace engineering》 |2016年第6期|04016048.1-04016048.10|共10页
  • 作者单位

    Shanghai Jiao Tong Univ, Sch Aeronaut & Astronaut, 800 Dong Chuan Rd, Shanghai 200240, Peoples R China;

    Shanghai Jiao Tong Univ, Sch Aeronaut & Astronaut, 800 Dong Chuan Rd, Shanghai 200240, Peoples R China;

    Shanghai Jiao Tong Univ, Sch Aeronaut & Astronaut, 800 Dong Chuan Rd, Shanghai 200240, Peoples R China;

    Shanghai Jiao Tong Univ, Sch Aeronaut & Astronaut, 800 Dong Chuan Rd, Shanghai 200240, Peoples R China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Fuel optimal; Collision-avoidance maneuver; Geometrical method; Relative E/I vectors;

    机译:最佳燃料;避免碰撞机动;几何方法;相对E / I向量;

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